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Finding the Fourth Proportional to 428.79, 644.01 and 374.13

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Solution

The fourth proportional to 428.79, 644.01 and 374.13 is: 561.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.79 : 644.01 = 374.13 : x
  2. Step 2: Convert to fraction form
    428.79/644.01 = 374.13/x
  3. Step 3: Cross multiply
    428.79x = 644.01 × 374.13
  4. Step 4: Simplify right side
    428.79x = 240,943.46
  5. Step 5: Solve for x
    x = 240,943.46/428.79
  6. Step 6: Final answer
    x = 561.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.